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Finding the Third Proportional to 182,706 and 398,526

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Solution

The third proportional to 182,706 and 398,526 is: 869,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,706 : 398,526 = 398,526 : x
  2. Step 2: Convert to fraction form
    182,706/398,526 = 398,526/x
  3. Step 3: Cross multiply
    182,706x = 398,526 × 398,526
  4. Step 4: Simplify right side
    182,706x = 158,822,972,676
  5. Step 5: Solve for x
    x = 158,822,972,676/182,706
  6. Step 6: Final answer
    x = 869,281.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.